Equations or code that can generate shapes

I have x and y coordinates of a n*2n grid fixed grid. I have generated circular shape (circle.JPG) with

sqrt((x-cx).^2 +(y-cy).^2)-r,  where (cx, cy) are the centre and r is the radius of the circle

I have generated elliptical shape (ellipse.JPG) with

((x-cx)/a).^2 +((y-cy)/b).^2)-1,  where (cx, cy) are the centre and a is the horizontal radius and b is the vertical radius of the ellipse

I need a code that can generate each of the following shapes in the picture (Picture_1.jpg).

Thank you so much.

[jonas]

It seems you already know how polyshapes work, so what's the problem?

[SAMUEL AYINDE]

@jonas,I do not know how to generate the shapes in Picture_1.Thank you so much.

[jonas]

Well do you have coordinates for the corner points?

[SAMUEL AYINDE]

The domain is 2*1. The height is 2 and the width is 1. So, by discretizing with 8*4 fixed grid in the picture, the coordinate of the corners are ((0,0.5), (0,0.75), (2,0.5), (2,0.75))It is a signed distance function.

[Image Analyst]

And you were not able to adapt the code I gave below???

[SAMUEL AYINDE]

No, I do not know how to adapt it. For convenience, find the attached signeddistance.m file for you to get a better understanding of what I am talking about. The attached code can generate the shape for rectangle, ellipse and circle using signed distance if you run the portion corresponding to each shape. I need a code that can give the shapes in the picture above using signed distance. Thank you so much.

I have posed the question in a better way here:

https://www.mathworks.com/matlabcentral/answers/423827-matlab-code-for-generating-some-shapes-using-signed-distance

Answer 1

[Image Analyst]

Try this:

period = 10;
amplitude = 4;
offset = 6;
x = linspace(0, 40, 700);
y = amplitude * cos(2 * pi * x / period) + offset;
plot(x, y, 'b-', 'LineWidth', 2);
grid on;
ylim([0, amplitude + offset]);

For the triangle wave, use sawtooth() or repmat(). I'm sure you can figure it out because you're a smart engineer.